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Determine the treatment temperature (°C) necessary to achieve a carbon Formula concentration of 0.60 wt% at a position of 0.75 mm in to an iron-carbon alloy that initially contains 0.20 wt% C. The surface concentration is C, - C, maintained at 1.00 wt% C.The time conducted for the process is 9.0 hours. Use the diffusion data for y-Fe. - ert(Di) C, – C, 2V Qa D = D,exp| Table 5.1 Tabulation of Error Function Values RT, erf(z) erf(2) erf(z) D-a temperature-independent proexponential (m) 1.3 1.4 1.5 0.55 0.5633 0.9340 0.9523 0.9661 0.9763 0.9838 the activation energy for diffusion (imol or eViatom) 0.0282 0.0564 0.6039 0.6420 0.6778 0.7112 0.025 0.05 0.60 0.65 0.70 0.75 0.80 0.85 -the gas constant, K31 Jmol Kor KA2 x 10evlatom K T- absolute temperature (K) 0.10 0.15 0.1125 0.1680 0.2227 1.6 1.7 0.7421 0.7707 0.20 1.8 0.9891 1.9 2.0 2.2 2.4 2.6 2.8 0.25 0.30 0.2763 0.3286 0.3794 0.7970 0.8209 0.9928 0.9953 0.90 0.35 0.40 0.45 0.50 0.95 0.9981 0.4284 0.4755 0.5205 0.8427 0.8802 1.0 0.9993 1.1 0.9998 1.2 0.9103 0.9999

Determine the treatment temperature (°C) necessary to achieve a carbon Formula concentration of 0.60 wt% at a position of 0.75 mm in to an iron-carbon alloy that initially contains 0.20 wt% C. The surface concentration is C, - C, maintained at 1.00 wt% C.The time conducted for the process is 9.0 hours. Use the diffusion data for y-Fe. - ert(Di) C, – C, 2V Qa D = D,exp| Table 5.1 Tabulation of Error Function Values RT, erf(z) erf(2) erf(z) D-a temperature-independent proexponential (m) 1.3 1.4 1.5 0.55 0.5633 0.9340 0.9523 0.9661 0.9763 0.9838 the activation energy for diffusion (imol or eViatom) 0.0282 0.0564 0.6039 0.6420 0.6778 0.7112 0.025 0.05 0.60 0.65 0.70 0.75 0.80 0.85 -the gas constant, K31 Jmol Kor KA2 x 10evlatom K T- absolute temperature (K) 0.10 0.15 0.1125 0.1680 0.2227 1.6 1.7 0.7421 0.7707 0.20 1.8 0.9891 1.9 2.0 2.2 2.4 2.6 2.8 0.25 0.30 0.2763 0.3286 0.3794 0.7970 0.8209 0.9928 0.9953 0.90 0.35 0.40 0.45 0.50 0.95 0.9981 0.4284 0.4755 0.5205 0.8427 0.8802 1.0 0.9993 1.1 0.9998 1.2 0.9103 0.9999

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Diffusion Calculation

Table 5.2 A Tabulation of Diffusion Data Activation Energy Q. Diffusing Species Calculated Value Host Metal D(m³/s) kJ/mol eVlatom T(C) D(m/s) Fe a-Fe 2.8 x 104 251 2,60 3.0 x 10-21 1.8 x 10-15 1.1 x 10- 7.8 x 10- 2.4 x 10-12 1.7 x 10- 500 (ВС) 900 Fe y-Fe (FCC) 5.0 x 10- 284 2.94 900 1100 a-Fe 6.2 x 10-7 80 0.83 500 900 Fe 2.3 x 105 148 1.53 900 5.9 x 10 53 x 10- 4.2 x 10- 4.0 x 10-s 4.2 x 10 14 4.1 x 10-4 1.9 x 10-3 13 x 10 Source: E. A. Brandes and G. B. Brook (Editors), Smithells Metals Reference Book, 7th edition, Butterworth- 1100 7.8 x 10-5 2.4 x 10- 2.3 x 104 6.5 x 105 Cu Cu 211 189 144 136 131 2.19 500 Zn Cu 1.96 500 Al Al 1.49 1.41 500 Cu Al 500 Mg Cu Al 1.2 x 10 1.35 500 Ni 2.7 x 10 256 2.65 500 Heinemann, Oxford, 1992.
Transcribed Image Text:Table 5.2 A Tabulation of Diffusion Data Activation Energy Q. Diffusing Species Calculated Value Host Metal D(m³/s) kJ/mol eVlatom T(C) D(m/s) Fe a-Fe 2.8 x 104 251 2,60 3.0 x 10-21 1.8 x 10-15 1.1 x 10- 7.8 x 10- 2.4 x 10-12 1.7 x 10- 500 (ВС) 900 Fe y-Fe (FCC) 5.0 x 10- 284 2.94 900 1100 a-Fe 6.2 x 10-7 80 0.83 500 900 Fe 2.3 x 105 148 1.53 900 5.9 x 10 53 x 10- 4.2 x 10- 4.0 x 10-s 4.2 x 10 14 4.1 x 10-4 1.9 x 10-3 13 x 10 Source: E. A. Brandes and G. B. Brook (Editors), Smithells Metals Reference Book, 7th edition, Butterworth- 1100 7.8 x 10-5 2.4 x 10- 2.3 x 104 6.5 x 105 Cu Cu 211 189 144 136 131 2.19 500 Zn Cu 1.96 500 Al Al 1.49 1.41 500 Cu Al 500 Mg Cu Al 1.2 x 10 1.35 500 Ni 2.7 x 10 256 2.65 500 Heinemann, Oxford, 1992.
Determine the treatment temperature (°C) necessary to achieve a carbon Formula concentration of 0.60 wt% at a position of 0.75 mm in to an iron-carbon alloy that initially contains 0.20 wt% C. The surface concentration is maintained at 1.00 wt% C.The time conducted for the process is 9.0 hours. Use the diffusion data for y-Fe. C, - C, C, – C, = 1 - erf Qd D = Doexp Table 5.1 Tabulation of Error Function Values erf(z) erf(z) erf(z) 0.55 0.5633 1.3 0.9340 D,-a temperature-independent preexponential (m's) Q.- the activation energy for diffusion (JAmol or eViatom) 0.025 0.05 0.0282 0.0564 1.4 1.5 0.60 0.6039 0.6420 0.6778 0.7112 0.7421 0.9523 R- the gas constant, 831 Jmol-K or 8.62 x 10 eViatom-K 0.65 0.9661 T- absolute temperature (K) 0.10 0.1125 0.70 1.6 0.9763 0.15 0.1680 0.75 1.7 0.9838 0.20 0.2227 0.80 1.8 0.9891 0.2763 0.85 0.7707 0.25 0.30 0.9928 0.9953 1.9 0.3286 0.90 0.7970 2.0 2.2 2.4 0.35 0.3794 0.95 0.8209 0.9981 0.40 0.4284 0.4755 0.5205 1.0 0.45 0.50 0.8427 0.8802 0.9993 0.9998 0.9999 1.1 2.6 1.2 0.9103 2.8
Transcribed Image Text:Determine the treatment temperature (°C) necessary to achieve a carbon Formula concentration of 0.60 wt% at a position of 0.75 mm in to an iron-carbon alloy that initially contains 0.20 wt% C. The surface concentration is maintained at 1.00 wt% C.The time conducted for the process is 9.0 hours. Use the diffusion data for y-Fe. C, - C, C, – C, = 1 - erf Qd D = Doexp Table 5.1 Tabulation of Error Function Values erf(z) erf(z) erf(z) 0.55 0.5633 1.3 0.9340 D,-a temperature-independent preexponential (m's) Q.- the activation energy for diffusion (JAmol or eViatom) 0.025 0.05 0.0282 0.0564 1.4 1.5 0.60 0.6039 0.6420 0.6778 0.7112 0.7421 0.9523 R- the gas constant, 831 Jmol-K or 8.62 x 10 eViatom-K 0.65 0.9661 T- absolute temperature (K) 0.10 0.1125 0.70 1.6 0.9763 0.15 0.1680 0.75 1.7 0.9838 0.20 0.2227 0.80 1.8 0.9891 0.2763 0.85 0.7707 0.25 0.30 0.9928 0.9953 1.9 0.3286 0.90 0.7970 2.0 2.2 2.4 0.35 0.3794 0.95 0.8209 0.9981 0.40 0.4284 0.4755 0.5205 1.0 0.45 0.50 0.8427 0.8802 0.9993 0.9998 0.9999 1.1 2.6 1.2 0.9103 2.8
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